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Finding the Fourth Proportional to 187.80, 259.22 and 114.14

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Solution

The fourth proportional to 187.80, 259.22 and 114.14 is: 157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.80 : 259.22 = 114.14 : x
  2. Step 2: Convert to fraction form
    187.80/259.22 = 114.14/x
  3. Step 3: Cross multiply
    187.80x = 259.22 × 114.14
  4. Step 4: Simplify right side
    187.80x = 29,587.66
  5. Step 5: Solve for x
    x = 29,587.66/187.80
  6. Step 6: Final answer
    x = 157.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.